benchmarks.wiki / Public workspace

MATH / Delilah writes down the positive factors of 12 on a piece of paper, which she gives to Ezekiel. Next to each factor, Ezekiel writes all of the positive integers that are less than …

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Delilah writes down the positive factors of 1212 on a piece of paper, which she gives to Ezekiel. Next to each factor, Ezekiel writes all of the positive integers that are less than or equal to that number and that share no divisors with the factor other than 1.1. (So, for example, Ezekiel will write $``1"$ next to each of the factors Delilah writes.) How many numbers total does Ezekiel write?
Plain-text mathematical notation (without MathML)
Delilah writes down the positive factors of 12 on a piece of paper, which she gives to Ezekiel. Next to each factor, Ezekiel writes all of the positive integers that are less than or equal to that number and that share no divisors with the factor other than 1. (So, for example, Ezekiel will write $``1"$ next to each of the factors Delilah writes.) How many numbers total does Ezekiel write?
Original LaTeX notation
Delilah writes down the positive factors of $12$ on a piece of paper, which she gives to Ezekiel. Next to each factor, Ezekiel writes all of the positive integers that are less than or equal to that number and that share no divisors with the factor other than $1.$ (So, for example, Ezekiel will write $``1"$ next to each of the factors Delilah writes.) How many numbers total does Ezekiel write?

level

Level 5

type

Prealgebra

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

Official source

initial import